Chapter 2: Reasoning in Geometry

Overlapping Segments Theorem
Overlapping Angles Theorem
Vertical Angles Theorem
Theorem 1 Chapter 2
Congruent Supplements Theorem

Chapter 3: Parallels and Polygons

Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem
Converse of the Corresponding Angles Postulate Theorem
Converse of the Same-Side Interior Angles Theorem
Converse of the Alternate Interior Angles Theorem
Converse of the Alternate Exterior Angles Theorem
Theorem 1 Chapter 3
Theorem 2 Chapter 3
Triangle Sum Theorem
Exterior Angle Theorem
Sum of the Interior Angles of a Polygon
The Measure of an Interior Angle of a Polygon
Sum of the Exterior Angles of a Polygon
Parallel Lines Theorem
Perpendicular Lines Theorem

Chapter 4: Triangle Congruence

Angle-Angle-Side (AAS) Congruence Theorem
Hypotenuse Leg (HL) Congruence Theorem
Isosceles Triangle Theorem
Converse of the Isosceles Triangle Theorem
Theorem 1 Chapter 4
Theorem 2 Chapter 4
Theorem 3 Chapter 4
Theorem 4 Chapter 4
Theorem 5 Chapter 4
Theorem 6 Chapter 4
Theorem 7 Chapter 4
Theorem 8 Chapter 4
Theorem 9 Chapter 4
Theorem 10 Chapter 4
Theorem 11 Chapter 4
Theorem 12 Chapter 4
Theorem 13 Chapter 4
Theorem 14 Chapter 4
Theorem 15 Chapter 4
Theorem 16 Chapter 4
Theorem 17 Chapter 4
Housebuilder Theorem
Theorem 18 Chapter 4
Theorem 19 Chapter 4
Theorem 20 Chapter 4
Triangle Midsegment Theorem
Triangle Inequality Theorem

Chapter 5: Perimeter and Area

Perimeter of a Rectangle
Area of a Triangle
Area of a Parallelogram
Area of a Trapezoid
Circumference of a Circle
Area of a Circle
Pythagorean Theorem
Converse of the Pythagorean Theorem
Pythagorean Inequalities
45-45-90 Triangle Theorem
30-60-90 Triangle Theorem
Area of a Regular Polygon
Distance Formula

Chapter 6: Shapes in Space

Diagonal of a Right Rectangular Prism
Distance Formula in Three Dimensions
Sets of Parallel Lines
Lines Parallel to the Ground

Chapter 7: Surface Area and Volume

Surface Area and Volume of a Right Rectangular Prism
Surface Area and Volume of a Cube
Surface Area of a Right Prism
Cavalieri's Principle
Volume of a Prism
Surface Area of a Regular Pyramid
Volume of a Pyramid
Surface Area of a Right Cylinder
Volume of a Cylinder
Surface Area of a Right Cone
Volume of a Cone
Surface Area of a Sphere
Volume of a Sphere

Chapter 8: Similar Shapes

Cross-Multiplication Property of Proportions
Reciprocal Property of Proportions
Exchange Property of Proportions
"Add-One" Property of Proportions
SSS (Side-Side-Side) Similarity Theorem
SAS (Side-Angle-Side) Similarity Theorem
Side Splitting Theorem
Proportional Altitudes Theorem
Proportional Medians Theorem
Proportional Angle Bisectors Theorem
Proportional Segments Theorem

Chapter 9: Circles

Arc Length
Chords and Arcs Theorem
Converse of the Chords and Arcs Theorem
Tangent Theorem
Radius and Chord Theorem
Converse of the Tangent Theorem
Theorem 1 Chapter 9
Inscribed Angle Theorem
Theorem 2 Chapter 9
Theorem 3 Chapter 9
Theorem 4 Chapter 9
Theorem 5 Chapter 9
Theorem 6 Chapter 9
Theorem 7 Chapter 9
Theorem 8 Chapter 9
Theorem 9 Chapter 9
Theorem 10 Chapter 9

Chapter 10: Trigonometry

Identity 1 Chapter 10
Identity 2 Chapter 10
The Law of Sines
The Law of Cosines

Chapter 11: Taxicabs, Fractals, and More

Theorem 1 Chapter 11
Jordan Curve Theorem
Euler's Formula
The Theorem of Pappus
The Theorem of Desargues

Chapter 12: A Closer Look at Proof and Logic

Argument Form: Modus Ponens
Argument Form: Modus Tollens
Invalid Form: Affirming the Consequent
Invalid Form: Denying the Antecedent
Proof by Contradiction